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arXiv · 0808.3634

Floer homology for negative line bundles and Reeb chords in pre-quantization spaces

Peter Albers·Urs Frauenfelder
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Abstract

In this article we prove existence of Reeb orbits for Bohr-Sommerfeld Legendrians in certain pre-quantization spaces. We give a quantitative estimate from below. These estimates are obtained by studying Floer homology for fibre-wise quadratic Hamiltonian functions on negative line bundles.

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Peter Albers, Urs Frauenfelder. 2009-09-06. Floer homology for negative line bundles and Reeb chords in pre-quantization spaces. https://doi.org/10.3934/jmd.2009.3.407

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